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Finding the Fourth Proportional to 2,399.70, 3,599.70 and 756.48

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Solution

The fourth proportional to 2,399.70, 3,599.70 and 756.48 is: 1,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.70 : 3,599.70 = 756.48 : x
  2. Step 2: Convert to fraction form
    2,399.70/3,599.70 = 756.48/x
  3. Step 3: Cross multiply
    2,399.70x = 3,599.70 × 756.48
  4. Step 4: Simplify right side
    2,399.70x = 2,723,101.06
  5. Step 5: Solve for x
    x = 2,723,101.06/2,399.70
  6. Step 6: Final answer
    x = 1,134.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.